20011311144 has 160 divisors (see below), whose sum is σ = 61921411200. Its totient is φ = 5987105280.

The previous prime is 20011311127. The next prime is 20011311149. The reversal of 20011311144 is 44111311002.

20011311144 is a `hidden beast` number, since 200 + 11 + 311 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20011311149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545344 + ... + 580880.

It is an arithmetic number, because the mean of its divisors is an integer number (387008820).

Almost surely, 2^20011311144 is an apocalyptic number.

20011311144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30960705600).

20011311144 is an abundant number, since it is smaller than the sum of its proper divisors (41910100056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20011311144 is a wasteful number, since it uses less digits than its factorization.

20011311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35645 (or 35632 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20011311144 its reverse (44111311002), we get a palindrome (64122622146).

The spelling of 20011311144 in words is "twenty billion, eleven million, three hundred eleven thousand, one hundred forty-four".